Interpolation of multilinear operators acting between quasi-Banach spaces

Abstract

We show that multilinear interpolation can be lifted to multilinear operators from spaces generated by the minimal methods to spaces generated by the maximal methods of interpolation dened on a class of couples of compatible p -Banach spaces. We also prove mutlilinear interpolation theorem for operators on Calder on-Lozanovskii spaces between Lp-spaces with 0 < p 1. As an application we obtain interpolation theorems for multilinear operators on quasi-Banach Orlicz spaces.